480560414778435 has 32 divisors (see below), whose sum is σ = 776276499398400. Its totient is φ = 253840139457408.

The previous prime is 480560414778413. The next prime is 480560414778461. The reversal of 480560414778435 is 534877414065084.

It is a happy number.

It is not a de Polignac number, because 480560414778435 - 2¹⁵ = 480560414745667 is a prime.

It is a super-3 number, since 3×480560414778435³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30973960 + ... + 43823589.

It is an arithmetic number, because the mean of its divisors is an integer number (24258640606200).

Almost surely, 2^{480560414778435} is an apocalyptic number.

480560414778435 is a deficient number, since it is larger than the sum of its proper divisors (295716084619965).

480560414778435 is a wasteful number, since it uses less digits than its factorization.

480560414778435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74801667.

The product of its (nonzero) digits is 361267200, while the sum is 66.

The spelling of 480560414778435 in words is "four hundred eighty trillion, five hundred sixty billion, four hundred fourteen million, seven hundred seventy-eight thousand, four hundred thirty-five".